This is a general math question that is based on parallel and perpendicular lines.

Let us say we have two parallel lines, given by

y = mx+c1 and y = mx + c2

I know a point on the first line (x1,y1) and the perpendicular distance (d) between these two lines.

c1 is known, c2 is unknown.

How can I find a point on the other line ?

Thanks a lot.